105-20001-MT1 (1)

# 105-20001-MT1 (1) - PROBLEM[I[25 points At time t = D a...

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Unformatted text preview: PROBLEM [I] [25 points} At time t = D a model rueltet A ﬁred vertically from the ground ascends [gees up; climbs up} with a constant. vertical, upward aeeeleratien E i'er 5 s. lts fuel is then ﬁnished. se it euntinues as a, free—Fall particle and then falls back down. At time t = | 3 {one second} a small belt is drnpped frum the side ed the racket, thereafter the belt moves as aﬁeevfeli particle. and 2 s iater it strikes the gmund. [g = 10 Intel} {a} Calculate a. the magnitude of the reeitet's aeeeleratien. y a Tar. aaitaemeamanwaa If“. t“: it nwﬂmmnfrﬂ_fnllpaxh _ ll {35:15 lﬂ-ﬂli‘ﬁﬂm ttﬂir all lit—=55 'ﬁ'ﬂﬁ‘ﬁt +“lz'1t1 *‘l I - .. n L I! U" a 5‘ ﬂﬁ'ﬂ gE-jﬂeegtiE4-lit-ab‘leae it} Fermahelt hem deed- ‘iﬂ : ﬂ£15}#[5n4f51.]{3_5}1. l‘l Use-“ml: {5:15 a.“ 'J' Hf +111; salts'} “E‘EHQ'd'I-ilmls" ~: a en E Eﬁrqnw‘lﬂ tat-*0 A E'Grcmnd a r533. _ .L way-Hts“? ELEM: {h} Caleul ate the altitude H reached by the rocket when its fuel is ﬁnished {at time t = 5 s}. Erharedeﬂ ﬂew. Flth wwwsw 1 '5' '1'" {Cl W113i i5 the lﬂiﬂl lime Pr Elapsed from takeoff (I = ﬂ} until the rocket strikes the ground? 'Tlvu. racket. amﬂlﬁaiC-a {rt-+14 “'1‘ 49C {9" 55 i “the C. it van-Lehman a free—ﬁn“, Pew-Heli- 'L MM; em = ttuhhteufsetﬁte trengtrat Sta-tet-Iea=o = ‘° t = “its thee-10:0 U; AM L is an i E: Ehwwmﬂiﬁ ﬁe‘iﬁella t|}1:"_'_-_E___—— 2. Fﬂ'r'ﬂtereekﬂﬁemti-HE: =32?" H‘lila=u;t+Jfﬁt1 -'- teEzlﬂE J5 t. = I le-E-ljg:l‘llittEll-l£{_§lti-E fT=tae+t¢E 55+ 05 Phys F05 First Midterm Page 3 Get 2'3. 2W0 PROBLEM (s) {25 points} A partiele P travels with constant speed v on a circle of radius R. [The +.: axis is direeted out at the page} The particle passes throu h t? at time t = D in eonnrereinektvr'se F 3;: 1:51 direction and has it pert T. '1 [a] With respect to £3. ﬁnﬁ the particle's position veetor F at time 3 T r = T. l[live your result in terms of unit vectors and given FEEEEHEIEI'S. At stile hi; JMth'elets at empress F”: 1" :‘l. "we: at A -a (It) C'sieulste the settler protiuet F -F where F and s are. respectively, the position and ‘u'tlDCitj' vectors of the particle at time t = Give your result in terms of given parameters. Athf==EJThepmHeleW DH... Ptrmgi; wetsuit-.1 is pi=—trE e=rs +ql- =er Far? = {RE-Hij‘lui—LTE) all! =Mmtjiebehsee4FMiF=ﬂE' p2 p.“ :‘Em Css¢=cmtss‘=-msvs‘=-% *-I *—l r-Lr spews—1}) to] Calculate the vector product is F where a and F are. respectively. the seeelerstien and [Intuition vectors of the particle at time t = lGive your result in terms of unit vectors and given parameters. sewtﬁfﬂmwte-t set E: as? __, Cures-i5 ﬂees.thth La. 5": -ﬂ.j e-g’j '35 :EE?M“W Emile EIEi'H-I'EEH Rated-F HW={-%jisiﬁitﬂll sit¢=Mtsst=wss‘=% = - v‘tpti riot—lo c = {games—“E; = s1 as"? = U1;- Tlrut. risk! head mine 31s.: lined-idiom DIE 55's? tem+ssweessu.Hm—.t {ill Where is the particle if F -F = I]? Where is the partiele if EstF = ﬂ? Give the coordinates of the particle in terms of given parameters. RF :3 —1 Fee 4;.- Fill; ~s Tit-t Wskéﬂiﬂwﬂiﬁisiwmﬂp=ﬁ Ht“ eel {Eels} whore Fiﬁ. as £F=ij ——} r‘:ﬁ|t}r MPH-“idiot am e; {oroijFr-‘lpo or :11 {lﬂfﬁll} NWE EL" ems F" HME Witt. dwteﬁsns . Phys H15 First Midi-ems Pages! 0:! 11'. m PROBLEM [3} [25 paints) Twe airplanes, A and B, mnve in a vertical plane aleng heriaenla! paths separated by 164!) nt. Airplanes A and B have e‘ﬂﬂﬂ'ﬂm'. herisearttl veleeities of 111:! We and 60 rats. respectively. The airplane 3 ﬁles under the airplane A at an altitude of mm m. The airplane H releases a package [P] at rim: ; = ﬂ. and at the same instant the airplane A isjust vertically above the airplane E. {g = lﬂ W's?) {a} At time I = E 5 ﬁnd Fm. the valuein {If [he package relative tn the. ground. Give your result in unit.— veeter nelatinn. _ Retean la up 5"? Sewer m JfWHd The, Fax Hal-E; Isn me Malian Hazel-Ila. tun-4113.1. ________+___. I ._.-I| “:1- I: "I. tra‘wm {a —c:} 1 L.-" =Ui=+lhﬂﬁlﬂ£ {b} At time l‘ = 3 5 ﬁnd 5“ . the veleeitv ef the package relative to the plane .4. Give vent reault in unit- veeter natalien. —l ,4 -H _--'.L —I- #1 UEﬂT-L wan :- UG :- +£EGHFE‘JE—{gﬂMrE-:lj “(la-DHIIEEL .Fh‘ 1 “Pa = *{éﬂ Me 3? ~ {EC-“MI {C} M time I: 3 a ﬁnd E. the disrenee between the package P and plane A; 14,": twig. lat—3 5 iMpaaha-{rc v3 aiﬁzEJHP39r-tda1‘hd '— 1H1; = ext —;9 a; renames} -=: x: “W rich elm-Le. {1:165 1 ‘l‘eepleata fl t3: rd [1th ﬁght-thw- s. 776’, = L’EH‘L _+ a: {Immrgtfﬂt‘l-ﬁ xi: atom fj :t‘r'a-W-u-h-llmm a 3A:”ggu ﬁ- = = Jﬁfﬁmj1+tqgﬂmll _§ M! Fey: 1" I35 Firsr Midterm Page 5 Ger 2}. ELISE] PRUELEM [4} (25 points} A string passes over a pulley attached to the ceilin .A mass m1 hangs from one end of this string” and a second pulley hangs from the other end. A. secon string passes over the secand pulley. and a mass m; hangs from one end of this string. whereas the other end is attached ﬁrmly to the ground. The pulleys are frictionless and massless. The system is released from rest and the mass H12 accelerates downward. [a] Draw separate free-body diagrams: {E} for with {ii} for m2, and {iii} for the second puliey ICeiling _ I _j ' 7—3 .4, ' T. a T m. m1 Rgﬁm-ad pulletf -.lII ‘-"ll' Mi —1I T1 T; s m a 13 it) {ii} {iii} [it] Find a; , a2 and up. the accelerations of masses mi , m1 and the second pulley. respectively. Give your results in tens of the gravitational acceleration g and given parameters. l-E'trh hilt. 'l'i‘LtL t1£laseﬁitdaa Pot-riﬂes; Md writ, The, 1“ [mar adopt? 59-! Mr 5 ML staid "ls-J. SELF-dd pmlletf. LQJLIEM aL=lﬁl Iii-1| fin-ltd l jﬁLE-HI?=HIHI+HHLG& l m = EHLH'MI‘} Form. '. "|'|-M13 = Mlﬁ E"- ‘ML l M11} ‘1‘: 7-" Midi 1 hawk?" QTL‘TFD —t~Tl=aTL HMHMI H I mLﬂﬁ-lq lTl—mla a min, I antral ‘3» if M131 A TL : “Lat 51 _ Lissa-'Eﬂt '1' ‘lme 'l'M'l ﬂ} Ali—M1“; '-"'"'"||'9l: + iii-“1E4 :- ll'ﬂ-LQL GP: 1“ E 1ML-—M| Meg-Mtg» = Miol +zm1ctl~+h® ﬁsh-a. Lianne? Welly-ova ea. chitin-«ea. JJMMMLW actuaa new“, 1d.‘i'laaae{5vie Phys 1415 Ft'rsrhi'idrerrn Page :5 Ger 2!. coco ...
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105-20001-MT1 (1) - PROBLEM[I[25 points At time t = D a...

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